Don't silence, adopt. Use your tinnitus as an object of meditation. You don't even have to literally meditate on it, if you don't want to. Just broaden your awareness to include the tinnitus along with the rest of your sensory experience. With practice, it stops bothering you. With true meditation, it turns blissful.

It is debatable whether the Buddhist Heroic March Sutra (Śūraṅgama Sūtra) is referring to this "sound of silence" as the king of all meditation objects but it is certainly a gateway to it.